An arbitrary trapezoid with less than 8 vertices standing on two parallel planes perpendicular to Z axis.

An Arb8 is defined by two quadrilaterals sitting on parallel planes, at dZ. These are defined each by 4 vertices having the coordinates (Xi,Yi,+/-dZ),i=0,3. The lateral surface of the Arb8 is defined by the 4 pairs of edges corresponding to vertices (i,i+1) on both -dZ and +dZ. If M and M' are the middles of the segments (i,i+1) at -dZ and +dZ, a lateral surface is obtained by sweeping the edge at -dZ along MM' so that it will match the corresponding one at +dZ. Since the points defining the edges are arbitrary, the lateral surfaces are not necessary planes - but twisted planes having a twist angle linear-dependent on Z.

TGeoArb8::TGeoArb8(Double_t dz,Double_t ivert);

TGeoArb8()

Default constructor.

Definition TGeoArb8.cxx:166

double

dz: half-length in Z;
ivert = [0,7]

Vertices have to be defined clockwise in the XY pane, both at +dz and -dz. The quadrilateral at -dz is defined by indices [0,3], whereas the one at +dz by vertices [4,7]. The vertex with index=7 has to be defined last, since it triggers the computation of the bounding box of the shape. Any two or more vertices in each Z plane can have the same (X,Y) coordinates. It this case, the top and bottom quadrilaterals become triangles, segments or points. The lateral surfaces are not necessary defined by a pair of segments, but by pair segment-point (making a triangle) or point-point (making a line). Any choice is valid as long as at one of the end-caps is at least a triangle.

Definition at line 17 of file TGeoArb8.h.

Public Member Functions
	TGeoArb8 ()
	Default constructor.

	TGeoArb8 (const char name, Double_t dz, Double_t vertices=nullptr)
	Named constructor.

	TGeoArb8 (Double_t dz, Double_t *vertices=nullptr)
	Constructor.

	~TGeoArb8 () override
	Destructor.

Double_t	Capacity () const override
	Computes capacity of the shape in [length^3].

void	ComputeBBox () override
	Computes bounding box for an Arb8 shape.

void	ComputeNormal (const Double_t point, const Double_t dir, Double_t *norm) override
	Compute normal to closest surface from POINT.

void	ComputeNormal_v (const Double_t points, const Double_t dirs, Double_t *norms, Int_t vecsize) override
	Compute the normal for an array o points so that norm.dot.dir is positive Input: Arrays of point coordinates and directions + vector size Output: Array of normal directions.

void	ComputeTwist ()
	Computes tangents of twist angles (angles between projections on XY plane of corresponding -dz +dz edges).

Bool_t	Contains (const Double_t *point) const override
	Test if point is inside this shape.

void	Contains_v (const Double_t points, Bool_t inside, Int_t vecsize) const override
	Check the inside status for each of the points in the array.

Double_t	DistFromInside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Compute distance from inside point to surface of the shape.

void	DistFromInside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

Double_t	DistFromOutside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Computes distance from outside point to surface of the shape.

void	DistFromOutside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

Double_t	DistToPlane (const Double_t point, const Double_t dir, Int_t ipl, Bool_t in) const
	Computes distance to plane ipl :

TGeoVolume *	Divide (TGeoVolume voldiv, const char divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) override
	Divide this shape along one axis.

Double_t	GetAxisRange (Int_t iaxis, Double_t &xlo, Double_t &xhi) const override
	Get shape range on a given axis.

void	GetBoundingCylinder (Double_t *param) const override
	Fill vector param[4] with the bounding cylinder parameters.

Int_t	GetByteCount () const override

Double_t	GetClosestEdge (const Double_t point, Double_t vert, Int_t &isegment) const
	Get index of the edge of the quadrilater represented by vert closest to point.

Double_t	GetDz () const

Int_t	GetFittingBox (const TGeoBBox parambox, TGeoMatrix mat, Double_t &dx, Double_t &dy, Double_t &dz) const override
	Fills real parameters of a positioned box inside this arb8. Returns 0 if successful.

TGeoShape *	GetMakeRuntimeShape (TGeoShape , TGeoMatrix ) const override

Bool_t	GetPointsOnFacet (Int_t, Int_t, Double_t *) const override
	Fills array with n random points located on the surface of indexed facet.

Double_t	GetTwist (Int_t iseg) const
	Get twist for segment I in range [0,3].

Double_t *	GetVertices ()

void	InspectShape () const override
	Prints shape parameters.

TClass *	IsA () const override

Bool_t	IsCylType () const override

Bool_t	IsTwisted () const

Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const override
	Computes the closest distance from given point to this shape.

void	Safety_v (const Double_t points, const Bool_t inside, Double_t *safe, Int_t vecsize) const override
	Compute safe distance from each of the points in the input array.

Double_t	SafetyToFace (const Double_t *point, Int_t iseg, Bool_t in) const
	Estimate safety to lateral plane defined by segment iseg in range [0,3] Might be negative: plane seen only from inside.

void	SavePrimitive (std::ostream &out, Option_t *option="") override
	Save a primitive as a C++ statement(s) on output stream "out".

void	SetDimensions (Double_t *param) override
	Set all arb8 params in one step.

void	SetDz (Double_t dz)

void	SetPlaneVertices (Double_t zpl, Double_t *vertices) const
	Computes intersection points between plane at zpl and non-horizontal edges.

void	SetPoints (Double_t *points) const override
	Creates arb8 mesh points.

void	SetPoints (Float_t *points) const override
	Creates arb8 mesh points.

virtual void	SetVertex (Int_t vnum, Double_t x, Double_t y)
	Set values for a given vertex.

void	Sizeof3D () const override
	Fill size of this 3-D object.

void	Streamer (TBuffer &) override
	Stream an object of class TGeoManager.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TGeoBBox
	TGeoBBox ()
	Default constructor.

	TGeoBBox (const char name, Double_t dx, Double_t dy, Double_t dz, Double_t origin=nullptr)
	Constructor with shape name.

	TGeoBBox (Double_t *param)
	Constructor based on the array of parameters.

	TGeoBBox (Double_t dx, Double_t dy, Double_t dz, Double_t *origin=nullptr)
	Constructor where half-lengths are provided.

	~TGeoBBox () override
	Destructor.

Double_t	Capacity () const override
	Computes capacity of the shape in [length^3].

void	ComputeBBox () override
	Compute bounding box - nothing to do in this case.

void	ComputeNormal (const Double_t point, const Double_t dir, Double_t *norm) override
	Computes normal to closest surface from POINT.

void	ComputeNormal_v (const Double_t points, const Double_t dirs, Double_t *norms, Int_t vecsize) override
	Compute the normal for an array o points so that norm.dot.dir is positive Input: Arrays of point coordinates and directions + vector size Output: Array of normal directions.

Bool_t	Contains (const Double_t *point) const override
	Test if point is inside this shape.

void	Contains_v (const Double_t points, Bool_t inside, Int_t vecsize) const override
	Check the inside status for each of the points in the array.

Bool_t	CouldBeCrossed (const Double_t point, const Double_t dir) const override
	Decides fast if the bounding box could be crossed by a vector.

Int_t	DistancetoPrimitive (Int_t px, Int_t py) override
	Compute closest distance from point px,py to each corner.

Double_t	DistFromInside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Compute distance from inside point to surface of the box.

void	DistFromInside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

Double_t	DistFromOutside (const Double_t point, const Double_t dir, Int_t iact=1, Double_t step=TGeoShape::Big(), Double_t *safe=nullptr) const override
	Compute distance from outside point to surface of the box.

void	DistFromOutside_v (const Double_t points, const Double_t dirs, Double_t dists, Int_t vecsize, Double_t step) const override
	Compute distance from array of input points having directions specified by dirs. Store output in dists.

TGeoVolume *	Divide (TGeoVolume voldiv, const char divname, Int_t iaxis, Int_t ndiv, Double_t start, Double_t step) override
	Divide this box shape belonging to volume "voldiv" into ndiv equal volumes called divname, from start position with the given step.

const char *	GetAxisName (Int_t iaxis) const override
	Returns name of axis IAXIS.

Double_t	GetAxisRange (Int_t iaxis, Double_t &xlo, Double_t &xhi) const override
	Get range of shape for a given axis.

void	GetBoundingCylinder (Double_t *param) const override
	Fill vector param[4] with the bounding cylinder parameters.

const TBuffer3D &	GetBuffer3D (Int_t reqSections, Bool_t localFrame) const override
	Fills a static 3D buffer and returns a reference.

Int_t	GetByteCount () const override

virtual Double_t	GetDX () const

virtual Double_t	GetDY () const

virtual Double_t	GetDZ () const

virtual Double_t	GetFacetArea (Int_t index=0) const
	Get area in internal units of the facet with a given index.

Int_t	GetFittingBox (const TGeoBBox parambox, TGeoMatrix mat, Double_t &dx, Double_t &dy, Double_t &dz) const override
	Fills real parameters of a positioned box inside this one. Returns 0 if successful.

TGeoShape *	GetMakeRuntimeShape (TGeoShape mother, TGeoMatrix mat) const override
	In case shape has some negative parameters, these has to be computed in order to fit the mother.

void	GetMeshNumbers (Int_t &nvert, Int_t &nsegs, Int_t &npols) const override
	Returns numbers of vertices, segments and polygons composing the shape mesh.

Int_t	GetNmeshVertices () const override

virtual const Double_t *	GetOrigin () const

Bool_t	GetPointsOnSegments (Int_t npoints, Double_t *array) const override
	Fills array with n random points located on the line segments of the shape mesh.

void	InspectShape () const override
	Prints shape parameters.

TClass *	IsA () const override

Bool_t	IsCylType () const override

virtual Bool_t	IsNullBox () const

Bool_t	IsValidBox () const override

TBuffer3D *	MakeBuffer3D () const override
	Creates a TBuffer3D describing this shape.

Double_t	Safety (const Double_t *point, Bool_t in=kTRUE) const override
	Computes the closest distance from given point to this shape.

void	Safety_v (const Double_t points, const Bool_t inside, Double_t *safe, Int_t vecsize) const override
	Compute safe distance from each of the points in the input array.

void	SavePrimitive (std::ostream &out, Option_t *option="") override
	Save a primitive as a C++ statement(s) on output stream "out".

void	SetBoxDimensions (Double_t dx, Double_t dy, Double_t dz, Double_t *origin=nullptr)
	Set parameters of the box.

void	SetBoxPoints (Double_t *points) const
	Fill box vertices to an array.

void	SetDimensions (Double_t *param) override
	Set dimensions based on the array of parameters param[0] - half-length in x param[1] - half-length in y param[2] - half-length in z.

void	SetPoints (Double_t *points) const override
	Fill box points.

void	SetPoints (Float_t *points) const override
	Fill box points.

void	SetSegsAndPols (TBuffer3D &buffer) const override
	Fills TBuffer3D structure for segments and polygons.

void	Sizeof3D () const override

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TGeoShape
	TGeoShape ()
	Default constructor.

	TGeoShape (const char *name)
	Default constructor.

	~TGeoShape () override
	Destructor.

virtual void	AfterStreamer ()

void	CheckShape (Int_t testNo, Int_t nsamples=10000, Option_t *option="")
	Test for shape navigation methods.

virtual void	ClearThreadData () const

virtual void	CreateThreadData (Int_t)

void	Draw (Option_t *option="") override
	Draw this shape.

void	ExecuteEvent (Int_t event, Int_t px, Int_t py) override
	Execute mouse actions on this shape.

Int_t	GetId () const

const char *	GetName () const override
	Get the shape name.

const char *	GetPointerName () const
	Provide a pointer name containing uid.

void	InvertShapeBit (UInt_t f)

TClass *	IsA () const override

virtual Bool_t	IsAssembly () const

virtual Bool_t	IsComposite () const

virtual Bool_t	IsReflected () const

Bool_t	IsRunTimeShape () const

Bool_t	IsValid () const

virtual Bool_t	IsVecGeom () const

void	Paint (Option_t *option="") override
	Paint this shape.

void	ResetShapeBit (UInt_t f)

void	SetId (Int_t id)

void	SetRuntime (Bool_t flag=kTRUE)

void	SetShapeBit (UInt_t f)

void	SetShapeBit (UInt_t f, Bool_t set)
	Equivalent of TObject::SetBit.

Int_t	ShapeDistancetoPrimitive (Int_t numpoints, Int_t px, Int_t py) const
	Returns distance to shape primitive mesh.

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Bool_t	TestShapeBit (UInt_t f) const

Int_t	TestShapeBits (UInt_t f) const

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor.

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor.

void	Clear (Option_t *option="") override
	Set name and title to empty strings ("").

TObject *	Clone (const char *newname="") const override
	Make a clone of an object using the Streamer facility.

Int_t	Compare (const TObject *obj) const override
	Compare two TNamed objects.

void	Copy (TObject &named) const override
	Copy this to obj.

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer.

const char *	GetName () const override
	Returns name of object.

const char *	GetTitle () const override
	Returns title of object.

ULong_t	Hash () const override
	Return hash value for this object.

TClass *	IsA () const override

Bool_t	IsSortable () const override

void	ls (Option_t *option="") const override
	List TNamed name and title.

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator.

void	Print (Option_t *option="") const override
	Print TNamed name and title.

virtual void	SetName (const char *name)
	Set the name of the TNamed.

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title).

virtual void	SetTitle (const char *title="")
	Set the title of the TNamed.

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject.

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor.

	TObject (const TObject &object)
	TObject copy ctor.

virtual	~TObject ()
	TObject destructor.

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract.

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad.

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action.

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object.

virtual const char *	ClassName () const
	Returns name of class to which the object belongs.

virtual void	Delete (Option_t *option="")
	Delete this object.

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs.

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

virtual void	Dump () const
	Dump contents of object on stdout.

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message.

virtual void	Execute (const char method, const char params, Int_t *error=nullptr)
	Execute method on this object with the given parameter string, e.g.

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=nullptr)
	Execute method on this object with parameters stored in the TObjArray.

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message.

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes.

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes.

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object.

virtual const char *	GetIconName () const
	Returns mime type name of object.

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py).

virtual Option_t *	GetOption () const

virtual UInt_t	GetUniqueID () const
	Return the unique object id.

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out.

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e.

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message.

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname".

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl.

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas.

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const
	IsDestructed.

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory).

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary).

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification (the base implementation is no-op).

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete.

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

void	operator delete[] (void *ptr)
	Operator delete [].

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator.

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list.

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory.

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list.

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename.

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f.

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object.

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message.

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory.

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static void	GetPlaneNormal (Double_t p1, Double_t p2, Double_t p3, Double_t norm)
	Computes normal to plane defined by P1, P2 and P3.

static Bool_t	InsidePolygon (Double_t x, Double_t y, Double_t *pts)
	Finds if a point in XY plane is inside the polygon defines by PTS.

static Bool_t	IsSamePoint (const Double_t p1, const Double_t p2)

Static Public Member Functions inherited from TGeoBBox
static Bool_t	AreOverlapping (const TGeoBBox box1, const TGeoMatrix mat1, const TGeoBBox box2, const TGeoMatrix mat2) R__DEPRECATED(6
	Check if 2 positioned boxes overlap.

static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static Bool_t	Contains (const Double_t point, Double_t dx, Double_t dy, Double_t dz, const Double_t origin)
	Static method to check if point[3] is located inside a box of having dx, dy, dz as half-lengths.

static const char *	DeclFileName ()

static Double_t	DistFromInside (const Double_t point, const Double_t dir, Double_t dx, Double_t dy, Double_t dz, const Double_t *origin, Double_t stepmax=TGeoShape::Big())
	Compute distance from inside point to surface of the box.

static Double_t	DistFromOutside (const Double_t point, const Double_t dir, Double_t dx, Double_t dy, Double_t dz, const Double_t *origin, Double_t stepmax=TGeoShape::Big())
	Compute distance from outside point to surface of the box.

Static Public Member Functions inherited from TGeoShape
static Double_t	Big ()

static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static Double_t	ComputeEpsMch ()
	Compute machine round-off double precision error as the smallest number that if added to 1.0 is different than 1.0.

static const char *	DeclFileName ()

static Double_t	DistToPhiMin (const Double_t point, const Double_t dir, Double_t s1, Double_t c1, Double_t s2, Double_t c2, Double_t sm, Double_t cm, Bool_t in=kTRUE)
	compute distance from point (inside phi) to both phi planes. Return minimum.

static Double_t	EpsMch ()
	static function returning the machine round-off error

static TGeoMatrix *	GetTransform ()
	Returns current transformation matrix that applies to shape.

static Bool_t	IsCloseToPhi (Double_t epsil, const Double_t *point, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
	True if point is closer than epsil to one of the phi planes defined by c1,s1 or c2,s2.

static Bool_t	IsCrossingSemiplane (const Double_t point, const Double_t dir, Double_t cphi, Double_t sphi, Double_t &snext, Double_t &rxy)
	Compute distance from POINT to semiplane defined by PHI angle along DIR.

static Bool_t	IsInPhiRange (const Double_t *point, Double_t phi1, Double_t phi2)
	Static method to check if a point is in the phi range (phi1, phi2) [degrees].

static Bool_t	IsSameWithinTolerance (Double_t a, Double_t b)
	Check if two numbers differ with less than a tolerance.

static Bool_t	IsSegCrossing (Double_t x1, Double_t y1, Double_t x2, Double_t y2, Double_t x3, Double_t y3, Double_t x4, Double_t y4)
	Check if segments (A,B) and (C,D) are crossing, where: A(x1,y1), B(x2,y2), C(x3,y3), D(x4,y4)

static void	NormalPhi (const Double_t point, const Double_t dir, Double_t *norm, Double_t c1, Double_t s1, Double_t c2, Double_t s2)
	Static method to compute normal to phi planes.

static Double_t	SafetyPhi (const Double_t *point, Bool_t in, Double_t phi1, Double_t phi2)
	Static method to compute safety w.r.t a phi corner defined by cosines/sines of the angles phi1, phi2.

static Double_t	SafetySeg (Double_t r, Double_t z, Double_t r1, Double_t z1, Double_t r2, Double_t z2, Bool_t outer)
	Compute distance from point of coordinates (r,z) to segment (r1,z1):(r2,z2)

static void	SetTransform (TGeoMatrix *matrix)
	Set current transformation matrix that applies to shape.

static Double_t	Tolerance ()

Static Public Member Functions inherited from TNamed
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()
	Return destructor only flag.

static Bool_t	GetObjectStat ()
	Get status of object stat flag.

static void	SetDtorOnly (void *obj)
	Set destructor only flag.

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable.

Protected Types
enum	EGeoArb8Type { kArb8Trap = (1ULL << ( 27 )) , kArb8Tra = (1ULL << ( 28 )) }

Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

Protected Member Functions
	TGeoArb8 (const TGeoArb8 &)=delete

void	CopyTwist (Double_t *twist=nullptr)
	Copy twist values from source array.

TGeoArb8 &	operator= (const TGeoArb8 &)=delete

Protected Member Functions inherited from TGeoBBox
	TGeoBBox (const TGeoBBox &)=delete

void	FillBuffer3D (TBuffer3D &buffer, Int_t reqSections, Bool_t localFrame) const override
	Fills the supplied buffer, with sections in desired frame See TBuffer3D.h for explanation of sections, frame etc.

TGeoBBox &	operator= (const TGeoBBox &)=delete

Protected Member Functions inherited from TGeoShape
Int_t	GetBasicColor () const
	Get the basic color (0-7).

void	SetOnBoundary (Bool_t)

void	TransformPoints (Double_t *points, UInt_t NbPoints) const
	Tranform a set of points (LocalToMaster)

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected).

void	MakeZombie ()

Protected Attributes
Double_t	fDz {0}

Double_t *	fTwist {nullptr}

Double_t	fXY [8][2]
	[4] tangents of twist angles

Protected Attributes inherited from TGeoBBox
Double_t	fDX

Double_t	fDY

Double_t	fDZ

Double_t	fOrigin [3]

Protected Attributes inherited from TGeoShape
UInt_t	fShapeBits

Int_t	fShapeId

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Additional Inherited Members
Public Types inherited from TGeoShape
enum	EShapeType { kBitMask32 = 0xffffffff , kGeoNoShape = 0 , kGeoBad = (1ULL << ( 0 )) , kGeoRSeg = (1ULL << ( 1 )) , kGeoPhiSeg = (1ULL << ( 2 )) , kGeoThetaSeg = (1ULL << ( 3 )) , kGeoVisX = (1ULL << ( 4 )) , kGeoVisY = (1ULL << ( 5 )) , kGeoVisZ = (1ULL << ( 6 )) , kGeoRunTimeShape = (1ULL << ( 7 )) , kGeoInvalidShape = (1ULL << ( 8 )) , kGeoTorus = (1ULL << ( 9 )) , kGeoBox = (1ULL << ( 10 )) , kGeoPara = (1ULL << ( 11 )) , kGeoSph = (1ULL << ( 12 )) , kGeoTube = (1ULL << ( 13 )) , kGeoTubeSeg = (1ULL << ( 14 )) , kGeoCone = (1ULL << ( 15 )) , kGeoConeSeg = (1ULL << ( 16 )) , kGeoPcon = (1ULL << ( 17 )) , kGeoPgon = (1ULL << ( 18 )) , kGeoArb8 = (1ULL << ( 19 )) , kGeoEltu = (1ULL << ( 20 )) , kGeoTrap = (1ULL << ( 21 )) , kGeoCtub = (1ULL << ( 22 )) , kGeoTrd1 = (1ULL << ( 23 )) , kGeoTrd2 = (1ULL << ( 24 )) , kGeoComb = (1ULL << ( 25 )) , kGeoClosedShape = (1ULL << ( 26 )) , kGeoXtru = (1ULL << ( 27 )) , kGeoParaboloid = (1ULL << ( 28 )) , kGeoHalfSpace = (1ULL << ( 29 )) , kGeoHype = (1ULL << ( 30 )) , kGeoSavePrimitive = (1ULL << ( 20 )) }

Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) }

enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum	EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }

Public Attributes inherited from TGeoBBox
static Bool_t DO NOT USE !The overlap detection does not work for all	cases

static Bool_t	DEPRECATED

#include <TGeoArb8.h>

Inheritance diagram for TGeoArb8:

[legend]

Member Enumeration Documentation

◆ EGeoArb8Type

enum TGeoArb8::EGeoArb8Type

protected

Enumerator
kArb8Trap
kArb8Tra

Definition at line 19 of file TGeoArb8.h.

Constructor & Destructor Documentation

◆ TGeoArb8() [1/4]

TGeoArb8::TGeoArb8 ( const TGeoArb8 & )

protecteddelete

◆ TGeoArb8() [2/4]

TGeoArb8::TGeoArb8 ( )

Default constructor.

Definition at line 166 of file TGeoArb8.cxx.

◆ TGeoArb8() [3/4]

TGeoArb8::TGeoArb8	(	Double_t	dz,
		Double_t *	vertices = `nullptr`
	)

Constructor.

If the array of vertices is not null, this should be in the format : (x0, y0, x1, y1, ... , x7, y7)

Definition at line 180 of file TGeoArb8.cxx.

◆ TGeoArb8() [4/4]

TGeoArb8::TGeoArb8	(	const char *	name,
		Double_t	dz,
		Double_t *	vertices = `nullptr`
	)

Named constructor.

If the array of vertices is not null, this should be in the format : (x0, y0, x1, y1, ... , x7, y7)

Definition at line 203 of file TGeoArb8.cxx.

◆ ~TGeoArb8()

TGeoArb8::~TGeoArb8 ( )

override

Destructor.

Definition at line 225 of file TGeoArb8.cxx.

Member Function Documentation

◆ Capacity()

Double_t TGeoArb8::Capacity ( ) const

overridevirtual

Computes capacity of the shape in [length^3].

Implements TGeoShape.

Definition at line 249 of file TGeoArb8.cxx.

◆ Class()

static TClass * TGeoArb8::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * TGeoArb8::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t TGeoArb8::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 93 of file TGeoArb8.h.

◆ ComputeBBox()

void TGeoArb8::ComputeBBox ( )

overridevirtual

Computes bounding box for an Arb8 shape.

Implements TGeoShape.

Definition at line 267 of file TGeoArb8.cxx.

◆ ComputeNormal()

void TGeoArb8::ComputeNormal	(	const Double_t *	point,
		const Double_t *	dir,
		Double_t *	norm
	)

overridevirtual

Compute normal to closest surface from POINT.

Implements TGeoShape.

Definition at line 465 of file TGeoArb8.cxx.

◆ ComputeNormal_v()

void TGeoArb8::ComputeNormal_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	norms,
		Int_t	vecsize
	)

overridevirtual

Compute the normal for an array o points so that norm.dot.dir is positive Input: Arrays of point coordinates and directions + vector size Output: Array of normal directions.

Reimplemented from TGeoShape.

Definition at line 1350 of file TGeoArb8.cxx.

◆ ComputeTwist()

void TGeoArb8::ComputeTwist ( )

Computes tangents of twist angles (angles between projections on XY plane of corresponding -dz +dz edges).

Computes also if the vertices are defined clockwise or anti-clockwise.

Definition at line 297 of file TGeoArb8.cxx.

◆ Contains()

Bool_t TGeoArb8::Contains ( const Double_t * point ) const

overridevirtual

Test if point is inside this shape.

Implements TGeoShape.

Definition at line 531 of file TGeoArb8.cxx.

◆ Contains_v()

void TGeoArb8::Contains_v	(	const Double_t *	points,
		Bool_t *	inside,
		Int_t	vecsize
	)		const

overridevirtual

Check the inside status for each of the points in the array.

Input: Array of point coordinates + vector size Output: Array of Booleans for the inside of each point

Reimplemented from TGeoShape.

Definition at line 1339 of file TGeoArb8.cxx.

◆ CopyTwist()

void TGeoArb8::CopyTwist ( Double_t * twist = nullptr )

protected

Copy twist values from source array.

Definition at line 234 of file TGeoArb8.cxx.

◆ DeclFileName()

static const char * TGeoArb8::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 93 of file TGeoArb8.h.

◆ DistFromInside()

Double_t TGeoArb8::DistFromInside	(	const Double_t *	point,
		const Double_t *	dir,
		Int_t	iact = `1`,
		Double_t	step = `TGeoShape::Big()`,
		Double_t *	safe = `nullptr`
	)		const

overridevirtual

Compute distance from inside point to surface of the shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 721 of file TGeoArb8.cxx.

◆ DistFromInside_v()

void TGeoArb8::DistFromInside_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	dists,
		Int_t	vecsize,
		Double_t *	step
	)		const

overridevirtual

Compute distance from array of input points having directions specified by dirs. Store output in dists.

Reimplemented from TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1359 of file TGeoArb8.cxx.

◆ DistFromOutside()

Double_t TGeoArb8::DistFromOutside	(	const Double_t *	point,
		const Double_t *	dir,
		Int_t	iact = `1`,
		Double_t	step = `TGeoShape::Big()`,
		Double_t *	safe = `nullptr`
	)		const

overridevirtual

Computes distance from outside point to surface of the shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 688 of file TGeoArb8.cxx.

◆ DistFromOutside_v()

void TGeoArb8::DistFromOutside_v	(	const Double_t *	points,
		const Double_t *	dirs,
		Double_t *	dists,
		Int_t	vecsize,
		Double_t *	step
	)		const

overridevirtual

Compute distance from array of input points having directions specified by dirs. Store output in dists.

Reimplemented from TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1369 of file TGeoArb8.cxx.

◆ DistToPlane()

Double_t TGeoArb8::DistToPlane	(	const Double_t *	point,
		const Double_t *	dir,
		Int_t	ipl,
		Bool_t	in
	)		const

Computes distance to plane ipl :

ipl=0 : points 0,4,1,5
ipl=1 : points 1,5,2,6
ipl=2 : points 2,6,3,7
ipl=3 : points 3,7,0,4

Definition at line 556 of file TGeoArb8.cxx.

◆ Divide()

TGeoVolume * TGeoArb8::Divide	(	TGeoVolume *	voldiv,
		const char *	divname,
		Int_t	iaxis,
		Int_t	ndiv,
		Double_t	start,
		Double_t	step
	)

overridevirtual

Divide this shape along one axis.

Implements TGeoShape.

Reimplemented in TGeoTrap.

Definition at line 862 of file TGeoArb8.cxx.

◆ GetAxisRange()

Double_t TGeoArb8::GetAxisRange	(	Int_t	iaxis,
		Double_t &	xlo,
		Double_t &	xhi
	)		const

overridevirtual

Get shape range on a given axis.

Implements TGeoShape.

Definition at line 872 of file TGeoArb8.cxx.

◆ GetBoundingCylinder()

void TGeoArb8::GetBoundingCylinder ( Double_t * param ) const

overridevirtual

Fill vector param[4] with the bounding cylinder parameters.

The order is the following : Rmin, Rmax, Phi1, Phi2

Implements TGeoShape.

Definition at line 890 of file TGeoArb8.cxx.

◆ GetByteCount()

Int_t TGeoArb8::GetByteCount ( ) const

inlineoverridevirtual

Implements TGeoShape.

Definition at line 63 of file TGeoArb8.h.

◆ GetClosestEdge()

Double_t TGeoArb8::GetClosestEdge	(	const Double_t *	point,
		Double_t *	vert,
		Int_t &	isegment
	)		const

Get index of the edge of the quadrilater represented by vert closest to point.

If [P1,P2] is the closest segment and P is the point, the function returns the fraction of the projection of (P1P) over (P1P2). If projection of P is not in range [P1,P2] return -1.

Definition at line 398 of file TGeoArb8.cxx.

◆ GetDz()

Double_t TGeoArb8::GetDz ( ) const

inline

Definition at line 66 of file TGeoArb8.h.

◆ GetFittingBox()

Int_t TGeoArb8::GetFittingBox	(	const TGeoBBox *	parambox,
		TGeoMatrix *	mat,
		Double_t &	dx,
		Double_t &	dy,
		Double_t &	dz
	)		const

overridevirtual

Fills real parameters of a positioned box inside this arb8. Returns 0 if successful.

Implements TGeoShape.

Definition at line 909 of file TGeoArb8.cxx.

◆ GetMakeRuntimeShape()

TGeoShape * TGeoArb8::GetMakeRuntimeShape	(	TGeoShape *	,
		TGeoMatrix *
	)		const

inlineoverridevirtual

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 69 of file TGeoArb8.h.

◆ GetPlaneNormal()

void TGeoArb8::GetPlaneNormal	(	Double_t *	p1,
		Double_t *	p2,
		Double_t *	p3,
		Double_t *	norm
	)

static

Computes normal to plane defined by P1, P2 and P3.

Definition at line 966 of file TGeoArb8.cxx.

◆ GetPointsOnFacet()

Bool_t TGeoArb8::GetPointsOnFacet	(	Int_t	,
		Int_t	,
		Double_t *
	)		const

overridevirtual

Fills array with n random points located on the surface of indexed facet.

The output array must be provided with a length of minimum 3*npoints. Returns true if operation succeeded. Possible index values:

0 - all facets together
1 to 6 - facet index from bottom to top Z

Reimplemented from TGeoBBox.

Definition at line 996 of file TGeoArb8.cxx.

◆ GetTwist()

Double_t TGeoArb8::GetTwist ( Int_t iseg ) const

Get twist for segment I in range [0,3].

Definition at line 388 of file TGeoArb8.cxx.

◆ GetVertices()

Double_t * TGeoArb8::GetVertices ( )

inline

Definition at line 71 of file TGeoArb8.h.

◆ InsidePolygon()

Bool_t TGeoArb8::InsidePolygon	(	Double_t	x,
		Double_t	y,
		Double_t *	pts
	)

static

Finds if a point in XY plane is inside the polygon defines by PTS.

Definition at line 1052 of file TGeoArb8.cxx.

◆ InspectShape()

void TGeoArb8::InspectShape ( ) const

overridevirtual

Prints shape parameters.

Implements TGeoShape.

Definition at line 1073 of file TGeoArb8.cxx.

◆ IsA()

TClass * TGeoArb8::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 93 of file TGeoArb8.h.

◆ IsCylType()

Bool_t TGeoArb8::IsCylType ( ) const

inlineoverridevirtual

Implements TGeoShape.

Definition at line 73 of file TGeoArb8.h.

◆ IsSamePoint()

static Bool_t TGeoArb8::IsSamePoint	(	const Double_t *	p1,
		const Double_t *	p2
	)

inlinestatic

Definition at line 74 of file TGeoArb8.h.

◆ IsTwisted()

Bool_t TGeoArb8::IsTwisted ( ) const

inline

Definition at line 80 of file TGeoArb8.h.

◆ operator=()

TGeoArb8 & TGeoArb8::operator= ( const TGeoArb8 & )

protecteddelete

◆ Safety()

Double_t TGeoArb8::Safety	(	const Double_t *	point,
		Bool_t	in = `kTRUE`
	)		const

overridevirtual

Computes the closest distance from given point to this shape.

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1088 of file TGeoArb8.cxx.

◆ Safety_v()

void TGeoArb8::Safety_v	(	const Double_t *	points,
		const Bool_t *	inside,
		Double_t *	safe,
		Int_t	vecsize
	)		const

overridevirtual

Compute safe distance from each of the points in the input array.

Input: Array of point coordinates, array of statuses for these points, size of the arrays Output: Safety values

Reimplemented from TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1381 of file TGeoArb8.cxx.

◆ SafetyToFace()

Double_t TGeoArb8::SafetyToFace	(	const Double_t *	point,
		Int_t	iseg,
		Bool_t	in
	)		const

Estimate safety to lateral plane defined by segment iseg in range [0,3] Might be negative: plane seen only from inside.

Definition at line 1175 of file TGeoArb8.cxx.

◆ SavePrimitive()

void TGeoArb8::SavePrimitive	(	std::ostream &	out,
		Option_t *	option = `""`
	)

overridevirtual

Save a primitive as a C++ statement(s) on output stream "out".

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1216 of file TGeoArb8.cxx.

◆ SetDimensions()

void TGeoArb8::SetDimensions ( Double_t * param )

overridevirtual

Set all arb8 params in one step.

param[0] = dz param[1] = x0 param[2] = y0 ...

Implements TGeoShape.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1261 of file TGeoArb8.cxx.

◆ SetDz()

void TGeoArb8::SetDz ( Double_t dz )

inline

Definition at line 88 of file TGeoArb8.h.

◆ SetPlaneVertices()

void TGeoArb8::SetPlaneVertices	(	Double_t	zpl,
		Double_t *	vertices
	)		const

Computes intersection points between plane at zpl and non-horizontal edges.

Definition at line 1245 of file TGeoArb8.cxx.

◆ SetPoints() [1/2]

void TGeoArb8::SetPoints ( Double_t * points ) const

overridevirtual

Creates arb8 mesh points.

Implements TGeoShape.

Definition at line 1275 of file TGeoArb8.cxx.

◆ SetPoints() [2/2]

void TGeoArb8::SetPoints ( Float_t * points ) const

overridevirtual

Creates arb8 mesh points.

Implements TGeoShape.

Definition at line 1287 of file TGeoArb8.cxx.

◆ SetVertex()

void TGeoArb8::SetVertex	(	Int_t	vnum,
		Double_t	x,
		Double_t	y
	)

virtual

Set values for a given vertex.

Definition at line 1299 of file TGeoArb8.cxx.

◆ Sizeof3D()

void TGeoArb8::Sizeof3D ( ) const

overridevirtual

Fill size of this 3-D object.

Implements TGeoShape.

Definition at line 1316 of file TGeoArb8.cxx.

◆ Streamer()

void TGeoArb8::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TGeoManager.

Reimplemented from TObject.

Reimplemented in TGeoTrap, and TGeoGtra.

Definition at line 1324 of file TGeoArb8.cxx.

◆ StreamerNVirtual()

void TGeoArb8::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 93 of file TGeoArb8.h.

Member Data Documentation

◆ fDz

Double_t TGeoArb8::fDz {0}

protected

Definition at line 26 of file TGeoArb8.h.

◆ fTwist

Double_t* TGeoArb8::fTwist {nullptr}

protected

Definition at line 27 of file TGeoArb8.h.

◆ fXY

Double_t TGeoArb8::fXY[8][2]

protected

[4] tangents of twist angles

Definition at line 28 of file TGeoArb8.h.

Libraries for TGeoArb8:

[legend]

The documentation for this class was generated from the following files:

geom/geom/inc/TGeoArb8.h
geom/geom/src/TGeoArb8.cxx

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Enumeration Documentation

◆ EGeoArb8Type

Constructor & Destructor Documentation

◆ TGeoArb8() [1/4]

◆ TGeoArb8() [2/4]

◆ TGeoArb8() [3/4]

◆ TGeoArb8() [4/4]

◆ ~TGeoArb8()

Member Function Documentation

◆ Capacity()

◆ Class()

◆ Class_Name()

◆ Class_Version()

◆ ComputeBBox()

◆ ComputeNormal()

◆ ComputeNormal_v()

◆ ComputeTwist()

◆ Contains()

◆ Contains_v()

◆ CopyTwist()

◆ DeclFileName()

◆ DistFromInside()

◆ DistFromInside_v()

◆ DistFromOutside()

◆ DistFromOutside_v()

◆ DistToPlane()

◆ Divide()

◆ GetAxisRange()

◆ GetBoundingCylinder()

◆ GetByteCount()

◆ GetClosestEdge()

◆ GetDz()

◆ GetFittingBox()

◆ GetMakeRuntimeShape()

◆ GetPlaneNormal()

◆ GetPointsOnFacet()

◆ GetTwist()

◆ GetVertices()

◆ InsidePolygon()

◆ InspectShape()

◆ IsA()

◆ IsCylType()

◆ IsSamePoint()

◆ IsTwisted()

◆ operator=()

◆ Safety()

◆ Safety_v()

◆ SafetyToFace()

◆ SavePrimitive()

◆ SetDimensions()

◆ SetDz()

◆ SetPlaneVertices()

◆ SetPoints() [1/2]

◆ SetPoints() [2/2]

◆ SetVertex()

◆ Sizeof3D()

◆ Streamer()

◆ StreamerNVirtual()

Member Data Documentation

◆ fDz

◆ fTwist

◆ fXY